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x,y,z not all zeros and the equations are consistent then selection among a,b,c is
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a
a2+b2+c2=0
b
a2+b2+c2−2abc=0
c
a2+b2+c2+2abc=1
d
a2+b2+c2+2abc=0
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Correct option is C
The homogeneous system has non-trivial solution⇒Δ=0⇒1 −c −bc −1 ab a −1=0 ⇒1−a2+c−c−ab−bac+b=0⇒1−a2−c2−abc−abc−b2=0⇒a2+b2+c2+2abc=1Similar Questions
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